Question

Write a program; accepting the pair non-zero coordinates X and

Y, prints the number of the quadrant in which the point (X, Y)
lies.

Answer 1

To determine the quadrant of a non-zero coordinate (X, Y), a simple program can be coded to evaluate the signs of X and Y and print the corresponding quadrant on a standard Cartesian plane.

Step-by-step explanation:

A program to determine which quadrant a non-zero coordinate (X, Y) lies in can be written in various programming languages. Considering the Cartesian plane, we know that if X is positive and Y is positive, the point lies in the first quadrant. Similarly, if X is negative and Y is positive, the point lies in the second quadrant; if both X and Y are negative, it's in the third quadrant; and if X is positive and Y is negative, the point is in the fourth quadrant.

Below is a simple example of such a program written in Python:

x = float(input('Enter the X coordinate: '))
y = float(input('Enter the Y coordinate: '))

if x > 0 and y > 0:
print('The point lies in the 1st quadrant.')
elif x < 0 and y > 0:
print('The point lies in the 2nd quadrant.')
elif x < 0 and y < 0:
print('The point lies in the 3rd quadrant.')
elif x > 0 and y < 0:
print('The point lies in the 4th quadrant.')
else:
print('The point does not lie in any quadrant.')